2x^2+24x+105=0

Solution for 2x^2+24x+105=0 equation:

Simplifying
2x2 + 24x + 105 = 0

Reorder the terms:
105 + 24x + 2x2 = 0

Solving
105 + 24x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
52.5 + 12x + x2 = 0

Move the constant term to the right:

Add '-52.5' to each side of the equation.
52.5 + 12x + -52.5 + x2 = 0 + -52.5

Reorder the terms:
52.5 + -52.5 + 12x + x2 = 0 + -52.5

Combine like terms: 52.5 + -52.5 = 0.0
0.0 + 12x + x2 = 0 + -52.5
12x + x2 = 0 + -52.5

Combine like terms: 0 + -52.5 = -52.5
12x + x2 = -52.5

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -52.5 + 36

Reorder the terms:
36 + 12x + x2 = -52.5 + 36

Combine like terms: -52.5 + 36 = -16.5
36 + 12x + x2 = -16.5

Factor a perfect square on the left side:
(x + 6)(x + 6) = -16.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.